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Finding the Fourth Proportional to 397.64, 596.41 and 154.24

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Solution

The fourth proportional to 397.64, 596.41 and 154.24 is: 231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.64 : 596.41 = 154.24 : x
  2. Step 2: Convert to fraction form
    397.64/596.41 = 154.24/x
  3. Step 3: Cross multiply
    397.64x = 596.41 × 154.24
  4. Step 4: Simplify right side
    397.64x = 91,988.40
  5. Step 5: Solve for x
    x = 91,988.40/397.64
  6. Step 6: Final answer
    x = 231.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.